Noncontinuous Froude Number Scaling for the Closure Depth of a Cylindrical Cavity

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Gekle, Stephan and Bos, Arjan van der and Bergmann, Raymond and Meer, Devaraj van der and Lohse, Detlef (2008) Noncontinuous Froude Number Scaling for the Closure Depth of a Cylindrical Cavity. Physical Review Letters, 100 (8). 084502. ISSN 0031-9007

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Abstract:A long, smooth cylinder is dragged through a water surface to create a cavity with an initially cylindrical shape. This surface void then collapses due to the hydrostatic pressure, leading to a rapid and axisymmetric pinch-off in a single point. Surprisingly, the depth at which this pinch-off takes place does not follow the expected Froude1/3 power law. Instead, it displays two distinct scaling regimes separated by discrete jumps, both in experiment and in numerical simulations (employing a boundary integral code). We quantitatively explain the above behavior as a capillary wave effect. These waves are created when the top of the cylinder passes the water surface. Our work thus gives further evidence for the nonuniversality of the void collapse.
Item Type:Article
Copyright:© 2008 American Physical Society
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Science and Technology (TNW)
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Link to this item:http://purl.utwente.nl/publications/59874
Official URL:http://dx.doi.org/10.1103/PhysRevLett.100.084502
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Metis ID: 246829